Note that in Russian doctrine as tought in universities, the Cold War never ended.
This seems like needless pedantry at least for a conversation outside of school. The USSR (with whom the Cold War was being fought) was dissolved and Germany was reunified. For all intents and purposes it did end, just a new conflict (now with Russia) began.
If the cold war did end, why didn't NATO dissolve as well? It was born exactly to contain the USSR! Instead NATO kept expanding east...